| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| STN 32107 | Fundamentals of Number Theory | Үшінші курс | 4 | 120 | 1 | 2 |
The discipline explains that mathematics is a field that studies the properties of integers, rational and algebraic numbers. The divisibility of integers is studied, separate types of integers are distinguished, the structure of perfect numbers is considered. They master the methods of research and solving equations in integers. They study the properties of prime and composite numbers, the laws of distribution of prime numbers in the natural series and arithmetic progressions, the structure of rings of residue classes in the natural modulus and methods for solving comparisons.
Group work, method of problem work, method of mini-research, method of improving professional skills.
| 1 | Solves fundamental and applied mathematical problems using basic methods and laws of mathematics (LO 9); |
| 2 | Builds mathematical models of processes and phenomena in solving applied practical problems (LO 10); |
| 3 | Uses theoretical and mathematical-statistical methods in the study of problems in various areas of mathematics (LO 11). |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Divisibility of numbers, properties. Theorem on dividing numbers by the remainder. | Ауызша және жазбаша |
| 2 | The common denominator of the numbers, the ECB. Euclid's algorithm. The total multiple of the numbers is His. Mutual prime numbers. | Ауызша және жазбаша |
| 3 | Simple numbers. Infinity of a set of prime numbers. Classification of an integer into prime numbers and its singularity. | Ауызша және жазбаша |
| 4 | Chain fractions, classification of a number into a chain fraction. Decent details. Limit chain parts | Ауызша және жазбаша |
| 5 | Numerical functions. The number and sum of the natural divisors of a number. | Ауызша және жазбаша |
| 6 | Comparisons, properties in a ring of integers. Class of residues by module. A complete and detailed system of modules. | Ауызша және жазбаша |
| 7 | Euler function. Euler and Fermat theorems. | Ауызша және жазбаша |
| 8 | First-degree comparisons of one unknown, a condition for the existence of their solution. Methods for solving first-degree comparisons of one unknown. | Ауызша және жазбаша |
| 9 | Methods for solving a system of first-degree comparisons of one unknown. | Ауызша және жазбаша |
| 10 | High-ranking comparisons of one unknown. | Ауызша және жазбаша |
| 11 | Second-degree comparisons. | Ауызша және жазбаша |
| 12 | Lejandre and Jacobi symbols. | Ауызша және жазбаша |
| 13 | Degree values and properties of indicators. | Ауызша және жазбаша |
| 14 | Application of degree plates. | Ауызша және жазбаша |
| 15 | Solving undefined equations. | Ауызша және жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Sıtnıkov V. M. sandar teorıasy. Oqý quraly. Chelábınsk, 2014j. | |
| 2 | Sandar teorıasy. Oqý-ádistemelik qural. - Túrkistan, 2018j. | |
| 3 | Joǵary matematıka-1: Oqýlyq.-3 kitapta. 1-kitap. 7 bas.,óńd.,tolyqt. / E. J. Aıdos. - Almaty : Bastaý, 2016. - 328 s. | |
| 4 | Kórneki matematıkalyq taldaý. Oqý-ádistemelik qural. 2019j. Qanǵojın B.E. |